The Drazin inverse in multibody system dynamics

DOI10.1007/BF01388703zbMath0797.65054OpenAlexW2085562860MaRDI QIDQ1326389

Peter Rentrop, Claus Fuehrer, Bernd Simeon

Publication date: 9 October 1994

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133719

zbMATH Keywords

stabilizationDrazin inversedifferential algebraic equationsmultibody system dynamicsindex threeindex twomechanical multibody systems

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) (n)-body problems (70F10)

Related Items (27)

Unnamed Item ⋮ The Drazin inverses of products and differences of orthogonal projections ⋮ Canonical projectors for linear differential algebraic equations ⋮ On the History of Differential-Algebraic Equations ⋮ Representations for the Drazin inverses of \(2 \times 2\) block matrices ⋮ Exact expressions for the Drazin inverse of anti-triangular matrices ⋮ Pseudo Drazin inverses in associative rings and Banach algebras ⋮ Strongly preserver problems in Banach algebras and \(C^{\ast}\)-algebras ⋮ Regularization Methods for Constrained Mechanical Multibody Systems ⋮ New methods for computing the Drazin-inverse solution of singular linear systems ⋮ A generalized Drazin inverse ⋮ Drazin Invertibility in a Certain Finite-Dimensional Algebra Generated by Two Idempotents ⋮ Arnoldi Algorithms with Structured Orthogonalization ⋮ Some additive results on Drazin inverse ⋮ On finite element method-flux corrected transport stabilization for advection-diffusion problems in a partial differential-algebraic framework ⋮ The representation and approximation for Drazin inverse ⋮ Expressions for the drazin inverse of a 2×2 Block Matrix ⋮ Additive Drazin inverse preservers ⋮ The Drazin inverses of sum and difference of idempotents ⋮ A class of Drazin inverses in rings ⋮ On the Drazin inverse and M-P inverse for sum of matrices ⋮ Determining Jordan (triple) homomorphisms by invertibility preserving conditions ⋮ The Drazin inverse of updating of a square matrix with application to perturbation formula ⋮ Successive matrix squaring algorithm for computing the Drazin inverse ⋮ A note on additive results for the Drazin inverse ⋮ An extended descriptor form for the numerical integration of multibody systems ⋮ The Drazin inverse of a modified matrix

Cites Work

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